As the measurements at the Relativistic Heavy Ion Collider(RHIC) and the Large Hadron Collider(LHC) processing[1]}, [2]}, [3]}, the polarization behaviors of vector mesons are more and more non-trivial and difficult to understand recently. These measurements which were motivated by explorations of large background field in the fire ball of Quark Gluon Plasma(QGP) produced in the relativistic heavy ion collisions, includes the magnetic and vorticity fields, have led the studies of the QGP phenomenological properties into a more complicated and mysterious situation. For the magnetic field, although the mechanism of the chiral magnetic effect(CME) is quite clear theoretically[4]}, [5]}, [6]}, its detection appears to be quite difficult because of large non-relevant fluctuations[7]}, [8]}, [9]}, [10]}. While for the vorticity, after a inspiring qualitative agreements of the simulations of the \(\Lambda \)  polarization dependence on the collision energy and centrality with the STAR measurements[11]}, [12]}, it indicated that the vorticity distribution and evolution in QGP may be much more out of ones' expectation by both the quantitative analysis on the global polarization and the qualitative mismatch of the local polarization profiles[13]}, [14]}, [15]}.
